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Main Title: Error estimates for linear-quadratic control problems with control constraints
Author(s): Rösch, Arnd
Type: Research Paper
Abstract: An abstract linear-quadratic optimal control problem is investigated with pointwise control constraints. This paper is concerned in discretization of the control by piecewise linear functions. Under the assumption that the optimal control and the optimal adjoint state is Lipschitz continuous and piecewise of class $C^2$ an approximation of order $h^{3/2}$ is proved for the solution of the control discretized problem with respect to the solution of the continuous one. Numerical tests are presented after the theoretical part.
Subject(s): linear-quadratic problems
methods based on necessary conditions
optimization and variational techniques
Issue Date: 1-Aug-2002
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 49N10 Linear-quadratic problems
49M05 Methods based on necessary conditions
65K10 Optimization and variational techniques
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2002, 740
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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